P. Flavell

works on

characteristic subgroups 1 finite groups 1 Glauberman theorem 1 p-groups 1 Sylow subgroups 1

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math.GR2026

On a theorem of Dickson

Paul Flavell

We present a new proof of the theorem of Dickson that gives generators for the groups $S L_{2} (q)$ where $q$ is an odd prime power.

math.GR2026

On the Glauberman-Solomon Theorem

Paul Flavell

The paper gives a concise, self‑contained proof that for any nontrivial odd‑prime p‑group S there exists a nontrivial characteristic subgroup W(S) that is normal in every finite Qd…

math.GR2026

On the finite subgroups of the 2-dimensional general linear groups

Paul Flavell

We give another proof of the classic result of Dickson that determines the finite subgroups of 2-dimensional projective general linear groups. In fact we go a little further and gi…